The restriction concept is a basic feature in the field of measure theory and has many important properties. This article introduces the notion of restriction of a non-empty class of subset of the power set on a nonempty subset of a universal set. Characterization and examples of the proposed concept are given, and several properties of restriction are investigated. Furthermore, the relation between the P*–field and the restriction of the P*–field is studied, explaining that the restriction of the P*–field is a P*–field too. In addition, it has been shown that the restriction of the P*–field is not necessarily contained in the P*–field, and the converse is true. We provide a necessary condition for the P*–field to obtain that the restriction of the P*–field is included in the P*–field. Finally, this article aims to study the restriction notion and give some propositions, lemmas, and theorems related to the proposed concept.
The problem with research in the question of whether art forms in the religious icon Byzantine, heiress docility and tradition craftsman arts civilizations of the above? ... And if you are well, you helped a quotation on the entry of strange ideas rampant within religious traditions, and are prompted to do Movement rejected prohibition, and the outbreak of the icons war? ... Or is it, in fact - and as researcher finds - the result of a need communication between the religious and the recipient organization in the establishment of a deliberative speech, be visible, along with reading it and audible? .. And lies the importance of this study is being added technical knowledge of the library that will enrich researchers and scholars in this
... Show MoreSome specific factors that cause the kinetic compensation effect
during the decomposition CaC03 are identified. The role of the C02 equilibrium pressure is examined in relation to the kinetic compensation effect. This investigation also shows why non - iso thermal experiments have some time necessarily to yield value of activation energy different from the value obtained from isothermal experiments.
The American vision of the Non-governmental Organizations in Iraq the topic area of that’s paper dealing with Civil Society as concept and practice, its already consider as Western concept and associated with liberalism and political development, they are many definitions of its but most significantly is all organizations, agencies, trade unions and non-governmental institutions, that’s agencies were established after 2003 and received funds from United States and UN development agencies. The non- governments organizations played a significant role as support and develop many cultural, healthy, educational, and social projects, also that’s organizations try to reduction the effects of terrorists actions especially after ISI
... Show MoreHousing finance is considered to be an important and basic element in housing market, so it’s very important to aid individuals and particular institutions to built or buy new housing units.Inadequate finance system for housing is capable of supporting families to fulfill their needs and helping them to buy and built houses represented a big gap between the need to housing units and available stock. The most important finance institutions in Iraq nowa days are the Real Estate Bank and Housing Fund.Althoughthe role played byeach ofthese institutions, but thattheir roleis stilllimited in thehousing financeat the level ofindividuals orinstitutions. the adoption of the real estate Bank and housing fund to the amount allocated by th
... Show MoreInsects have a vital role in solid waste composting process. Insects are detritus feeders that enhance changing the physical and chemical properties of decomposed materials during composting processes. This behavior makes insects excellent organisms in recycling of organic matter. The present study assesses the success of insects’ population in relation with the degradation of solid waste. The study was carried out in the glass house facility of the College of Science, Salahaddin University in Erbil City, Kurdistan region of Iraq, using household organic waste. During composting process, three stages of lifecycle of insects were observed and recorded. The total number of insects reached to 1268 indiv
... Show MoreThe semantic analysis is characterized by its ability to describe the communicative pattern and its high efficiency in questioning its semantic manifestations and its deliberative purposes, which helped to understand the symbolic, contextual and cultural manifestations of the structure of the pattern, whether verbal or nonverbal. In order to highlight the role of the semiautomatic approach and its application to a sample of slogans collected from "media, social networking sites, in-kind views, media institutions, etc." to study the components and analyze the contents and highlight the signs. His boat logo is not just uttered as a linguistic transmission of a message, but as a political Tghieria actually . For example, the slogan "People Wan
... Show MoreThe research is dealing with the color articulation and its significance in the poetry of Hana Al-bawab, who employed the “color” in a special technique in her poetry.The research is trying to deal with the identification of the color and its aesthetic significance and function in the poetic context, as it determines its indication and interaction with the words next to it in the context. The research will clarifies that the color is not only a visual phenomenon, but also an aesthetic, mental and emotional significance. The results that I have concluded, indicate that the poet has beseeched to display the color in her poetry with the plain and borrowed colors besides the inspired dark and bright colors. The color’s indication has b
... Show MoreGod sent the Prophet Muhammad as a teacher and promising harbinger {that is sent to the illiterate messenger reciting to them His signs and purifies them and teaches them the Book and Wisdom} [Friday: 2]; the wisdom of Baos Prophet him peace be and am back to teach people, - Education and therefore his life was very rich educational tactics And has passed the Prophet in different circumstances and conditions that can be experienced by a teacher or educator in any time, anywhere; there is no case of going through the educator or teacher only finds the same or similar or likened to, or close to it in the life of the Prophet peace be upon him Prophet has lived God's peace be upon his strengths and weaknesses, victory and defeat, he lived or
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